Grade - examples - page 161

  1. Arithmetic progression
    postupnost1_4 In some AP applies: 5a2 + 7a5 = 90 s3 = 12 Find the first member a =? and difference d = ?
  2. Stairway
    schody Stairway has 20 steps. Each step has a length of 22 cm and a height of 15 cm. Calculate the length of the handrail of staircases if on the top and bottom exceeds 10 cm.
  3. Efficiency
    rychlovarna-kanvica What is the power output of kettle 2 kW with efficiency 90%?
  4. Tricolors
    Flag_of_the_Netherlands.svg From the colors - red, blue, green, black and white, create all possible tricolors.
  5. Book
    books_5 Louise read from their favorite book for three days 18 pages. Every day read the same number of pages. How many pages she read every day?
  6. AS - sequence
    matematika_icon What are the first ten members of the sequence if a11=22, d=2.
  7. Working together on project
    work_10 Two employees working on the project. First make it alone for 20 days the second for 24 days. How many days will take to complete project if 5 days they work together then first will take two days holiday and after returning they completes a project toget
  8. Price increase
    sleva A 20 percent price increase meant a 90-crown raise. How many cost a product after?
  9. Cube 1-2-3
    cube_shield_1 Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) perimeter of wall ABCD is 22 cm c) the sum of the lengths of all edges of the cube is 30 cm.
  10. Cylindrical tank
    valec_7 Cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
  11. Volume increase
    basen_6 How many percent will increase in the pool 50 m, width 15m if the level rises from 1m to 150cm?
  12. A mast
    stoziar_1 A mast 32 meters high was broken by the wind so that its top touches the ground 16 meters from the pole. The still standing part of the mast, the broken part and the ground form a rectangular triangle. At what height was the mast broken?
  13. Goat, cabbage and wolf
    goat__wolf_and_cabbage A man once had to travel with a wolf, a goat and a cabbage. He had to take good care of them, since the wolf would like to taste a.piece of goat if he would get the chance, while the goat appeared to long for a tasty cabbage. After some traveling, he sudde
  14. Plane II
    compass2 A plane flew 50 km on a bearing 63degrees20 and the flew on a bearing 153degrees20 for 140km. Find the distance between the starting point and the ending point
  15. Adam and Ben
    venn_diagram_3_2 When Ben is so many years old to Adam today, Adam will be 23 years old. When Adam was as old as Ben, Ben was two years old. How old is today Ben and Adam?
  16. Rhombus MATH
    math Construct a rhombus M A T H with diagonal MT=4cm, angle MAT=120°
  17. Quadratic function 2
    parabola1 Which of the points belong function f:y= 2x2- 3x + 1 : A(-2, 15) B (3,10) C (1,4)
  18. Boys and girls
    childern There are 48 children in the sports club, boys are 10 more than girls. How many girls go to the club?
  19. LCD 2
    zlomky_6 The least common denominator of 2/5, 1/2, and 3/4
  20. Cargo
    tractor_lorry Car with cargo weight 7610 kg. Weight of car is 23% of the total weight of car and cargo. How heavy is cargo?

Do you have an interesting mathematical example that you can't solve it? Enter it, and we can try to solve it.



To this e-mail address, we will reply solution; solved examples are also published here. Please enter e-mail correctly and check whether you don't have a full mailbox.